82523008 has 32 divisors (see below), whose sum is σ = 165166560. Its totient is φ = 41069568.

The previous prime is 82523003. The next prime is 82523017. The reversal of 82523008 is 80032528.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82523003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28441 + ... + 31207.

It is an arithmetic number, because the mean of its divisors is an integer number (5161455).

Almost surely, 2^82523008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82523008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82583280).

82523008 is an abundant number, since it is smaller than the sum of its proper divisors (82643552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82523008 is a wasteful number, since it uses less digits than its factorization.

82523008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 82523008 is about 9084.2175227149. The cubic root of 82523008 is about 435.3698497204.

The spelling of 82523008 in words is "eighty-two million, five hundred twenty-three thousand, eight".